XHToken

/

Spark-X2.5-4B

Like 1.43k

Follow

SparkLLM 1.12k

System prompt：

Solve the supplied math problem carefully. Follow the user policy. After any tool result, give a concise, checkable derivation. End with exactly one line: FINAL_ANSWER: <number>, where <number> has no unit. Do not write anything after that line.

直接策略 prefix：

请独立理解下面的英文数学题并手工计算，不要使用任何外部工具。给出简洁、可检查的推导，并以 FINAL_ANSWER: <number> 结尾。

计算器策略 prefix：

请先理解下面的英文数学题并确定所需算式，然后必须调用 calculator 工具精确计算。不要在工具返回前给最终答案。工具返回后再简要说明推导，并以 FINAL_ANSWER: <number> 结尾。

原生工具 schema：

{
  "type": "function",
  "function": {
    "name": "calculator",
    "description": "Exactly evaluate one arithmetic expression. When this tool is available, it must be called at least once. It does not interpret or solve the word problem.",
    "parameters": {
      "type": "object",
      "properties": {
        "expression": {
          "type": "string",
          "description": "Arithmetic using numeric literals, parentheses, and + - * / // % ** only."
        }
      },
      "required": ["expression"],
      "additionalProperties": false
    }
  }
}

• 严格金标：80
• 严格预测：80，计为正确
• episode seed：20318171；后续轮次依次加 1
• raw_record_sha256：3e92c08c1a76c981e0303831fed5b126e596a9cfdd4d3ad938c884a0399a72cc

系统提示：

Solve the supplied math problem carefully. Follow the user policy. After any tool result, give a concise, checkable derivation. End with exactly one line: FINAL_ANSWER: <number>, where <number> has no unit. Do not write anything after that line.

用户消息：

请先理解下面的英文数学题并确定所需算式，然后必须调用 calculator 工具精确计算。不要在工具返回前给最终答案。工具返回后再简要说明推导，并以 FINAL_ANSWER: <number> 结尾。

题目（原文）：
There are 8 girls in the garden. If there are 1/4 the number of boys in the garden, what percentage of the kids in the garden are girls?

第 1 轮 assistant（finish_reason=tool_calls）：

Let me solve this step by step.

**Understanding the problem:**
- There are 8 girls in the garden.
- The number of boys is 1/4 the number of girls.
- We need to find what percentage of the total kids are girls.

**Step 1: Find the number of boys**
Boys = 1/4 × Girls = 1/4 × 8 = 2

**Step 2: Find the total number of kids**
Total = Girls + Boys = 8 + 2 = 10

**Step 3: Find the percentage of girls**
Percentage = (Girls / Total) × 100 = (8 / 10) × 100 = 80%

Let me verify with the calculator.

第 1 次原生函数调用与执行器返回：

{
  "call": {
    "function": {
      "arguments": "{\"expression\":\"(1/4) * 8\"}",
      "name": "calculator"
    },
    "id": "chatcmpl-tool-ac2ccbf6cd37f5eb",
    "type": "function"
  },
  "executor_error": null,
  "executor_result": {"decimal": "2", "exact": "2", "ok": true}
}

第 2 轮 assistant（finish_reason=tool_calls）：原始 content 为空字符串。

第 2 次原生函数调用与执行器返回：

{
  "call": {
    "function": {
      "arguments": "{\"expression\":\"(8 / (8 + (1/4) * 8)) * 100\"}",
      "name": "calculator"
    },
    "id": "chatcmpl-tool-9ef0f5a7798f9a5a",
    "type": "function"
  },
  "executor_error": null,
  "executor_result": {"decimal": "80", "exact": "80", "ok": true}
}

第 3 轮 assistant（finish_reason=stop，tools_available=false）：

**Derivation:**
- Number of boys = 1/4 × 8 = 2
- Total kids = 8 + 2 = 10
- Percentage of girls = (8 / 10) × 100 = 80%

FINAL_ANSWER: 80

这条轨迹在计算器联合条件中完成了题意建模、两次原生调用和末答交付；单条案例本身
不用于声称纯工具因果。

• 严格金标：14
• 严格预测：不可解析，计为错误
• 解析错误：missing_or_multiple_final_answer_markers
• episode seed：20610456；后续轮次依次加 1
• raw_record_sha256：89d135e0b32ab1b5b5df980481898297eeb875fc1660535e63643cea61f68a4d

系统提示：

Solve the supplied math problem carefully. Follow the user policy. After any tool result, give a concise, checkable derivation. End with exactly one line: FINAL_ANSWER: <number>, where <number> has no unit. Do not write anything after that line.

用户消息：

请先理解下面的英文数学题并确定所需算式，然后必须调用 calculator 工具精确计算。不要在工具返回前给最终答案。工具返回后再简要说明推导，并以 FINAL_ANSWER: <number> 结尾。

题目（原文）：
To make a call from a phone booth, you must pay €0.5 for each minute of your call. After 22 minutes, that price drops to €0.1 per minute. How much would a 52-minute call cost?

第 1 轮 assistant（finish_reason=tool_calls）：

Let me break down this problem step by step.

The pricing structure is:
- First 22 minutes: €0.5 per minute
- After 22 minutes (remaining minutes): €0.1 per minute

For a 52-minute call:
- First 22 minutes cost: 22 × €0.5
- Remaining minutes: 52 - 22 = 30 minutes, costing: 30 × €0.1

Let me calculate each part.

第 1 次原生函数调用与执行器返回：

{
  "call": {
    "function": {"arguments": "{\"expression\":\"22 * 0.5\"}", "name": "calculator"},
    "id": "chatcmpl-tool-963101f8df8888d8",
    "type": "function"
  },
  "executor_error": null,
  "executor_result": {"decimal": "11", "exact": "11", "ok": true}
}

第 2 轮 assistant（finish_reason=tool_calls）：原始 content 为空字符串。

第 2 次原生函数调用与执行器返回：

{
  "call": {
    "function": {
      "arguments": "{\"expression\":\"(52 - 22) * 0.1\"}",
      "name": "calculator"
    },
    "id": "chatcmpl-tool-baab61188a06015a",
    "type": "function"
  },
  "executor_error": null,
  "executor_result": {"decimal": "3", "exact": "3", "ok": true}
}

第 3 轮 assistant（finish_reason=stop，两次额度已用完，tools_available=false）：

<tool_call>calculator<arg_key>expression</arg_key><arg_value>11 + 3</arg_value></tool_call>

两次执行结果 11 和 3 都正确，但最后一轮没有提交要求的 FINAL_ANSWER: 14，
而是生成了不可执行的文字化第三次调用。因此该轨迹保留在分母并计错，主标签为
tool_protocol。

• 严格金标：1680
• 严格预测：1680，末答计为正确
• 推理审阅：right_answer_wrong_reasoning
• episode seed：20789663
• raw_record_sha256：927c4bd2d8ac5f6210b81a66b772906a50e41e220fae3f0ee56520c34ffb27ca

系统提示：

Solve the supplied math problem carefully. Follow the user policy. After any tool result, give a concise, checkable derivation. End with exactly one line: FINAL_ANSWER: <number>, where <number> has no unit. Do not write anything after that line.

用户消息：

请独立理解下面的英文数学题并手工计算，不要使用任何外部工具。给出简洁、可检查的推导，并以 FINAL_ANSWER: <number> 结尾。

题目（原文）：
A grandfather eats 5 hamburgers per day, his partner eats 15 hamburgers per day, and their son eats three-fourths of the combined number of hamburgers they eat per day. After one month, the family decides to go on a diet in the second month, reducing their food consumption by 20% for the first half of the month, and then by an additional 50% for the second half. How many hamburgers does this family eat in two months?

第 1 轮 assistant（finish_reason=stop）：

Step 1: Compute daily hamburger consumption.
Grandfather: 5
Partner: 15
Combined: 5 + 15 = 20

Step 2: Son eats three-fourths of the combined amount.
3/4 × 20 = 15

Step 3: Total daily consumption in first month (normal):
5 + 15 + 15 = 35 hamburgers per day

Step 4: First month total (assume 30 days):
35 × 30 = 1050

Step 5: Second month diet plan:
- First half (15 days): reduce by 20% → multiply by (1 – 0.20) = 0.80
  Daily consumption = 35 × 0.80 = 28
  Total for first half = 28 × 15 = 420

- Second half (15 days): reduce by an additional 50% from the already reduced level
  So total reduction = 20% + 50% = 70% reduction → multiply by (1 – 0.70) = 0.30
  Alternatively: 28 × (1 – 0.50) = 28 × 0.50 = 14
  Daily consumption = 14
  Total for second half = 14 × 15 = 210

Step 6: Second month total = 420 + 210 = 630

Step 7: Total for two months = First month + Second month = 1050 + 630 = 1680

FINAL_ANSWER: 1680

末答采用正确的连续折减路径 35×0.8×0.5=14，因此得到 1680；但同一段推导又
声称“20% + 50% = 总计减少 70%”，对应保留比例 0.3。两种说法相互矛盾，所以
这是严格的“答案正确、推理错误”，而不是普通的已纠正 false start。